‘What is the sum of 6 of the interior angles of a regular decagon?’<\/p>\n\n\n\n
The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n The sum of 6 interior angles of a regular decagon is 720 degrees.<\/p>\n\n\n\n Here’s the explanation:<\/p>\n\n\n\n A decagon is a polygon with 10 sides. To find the measure of each interior angle in a regular decagon (where all sides and angles are equal), first find the sum of all the interior angles of the decagon.<\/p>\n\n\n\n The formula for the sum of the interior angles of any polygon with nn sides is: Sum of interior angles=(n\u22122)\u00d7180\u2218\\text{Sum of interior angles} = (n – 2) \\times 180^\\circ<\/p>\n\n\n\n For a decagon, n=10n = 10, so: (10\u22122)\u00d7180\u2218=8\u00d7180\u2218=1440\u2218(10 – 2) \\times 180^\\circ = 8 \\times 180^\\circ = 1440^\\circ<\/p>\n\n\n\n This means the total sum of all interior angles in a decagon is 1440 degrees.<\/p>\n\n\n\n Since it is a regular decagon, each interior angle is equal. To find the measure of one interior angle: One interior angle=1440\u221810=144\u2218\\text{One interior angle} = \\frac{1440^\\circ}{10} = 144^\\circ<\/p>\n\n\n\n The question asks for the sum of 6 of these interior angles. Multiply the measure of one interior angle by 6: 6\u00d7144\u2218=864\u22186 \\times 144^\\circ = 864^\\circ<\/p>\n\n\n\n Therefore, the sum of 6 interior angles of a regular decagon is 864 degrees<\/strong>.<\/p>\n\n\n\n If the question intended the sum of 6 any<\/em> interior angles (not necessarily consecutive), since the polygon is regular, any 6 interior angles will sum to the same result.<\/p>\n\n\n\n To summarize:<\/p>\n\n\n\n ‘What is the sum of 6 of the interior angles of a regular decagon?’ The correct answer and explanation is: The sum of 6 interior angles of a regular decagon is 720 degrees. Here’s the explanation: A decagon is a polygon with 10 sides. To find the measure of each interior angle in a regular […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-31825","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31825","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=31825"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31825\/revisions"}],"predecessor-version":[{"id":31826,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/31825\/revisions\/31826"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=31825"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=31825"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=31825"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n\n\n\n\n